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Birkhoff, George David

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Author ID: birkhoff.george-d Recent zbMATH articles by "Birkhoff, George David"
Published as: Birkhoff, G. D.; Birkhoff, George D.; Birkhoff, George David; Birkhoff, G.
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Documents Indexed: 192 Publications since 1904, including 10 Books
Biographic References: 14 Publications
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Serials

40 Bulletin of the American Mathematical Society
24 Proceedings of the National Academy of Sciences of the United States of America
15 Transactions of the American Mathematical Society
10 Annals of Mathematics. Second Series
6 Acta Mathematica
6 Annali della Scuola Normale Superiore di Pisa. II. Ser
5 Bulletin de la Société Mathématique de France
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris
5 Revista de Ciencias, Lima
5 Science
4 Duke Mathematical Journal
3 American Mathematical Monthly
3 Mathematische Annalen
3 Annales de l’Institut Henri Poincaré
2 American Journal of Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Rendiconti del Circolo Matematico di Palermo
2 Memoriae Pontificiae Academiae Scientiarum Novi Lyncaei. III. Series
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Bulletin des Sciences Mathématiques. Deuxième Série
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Bulletin of the American Mathematical Society. New Series
1 Periodico di Matematiche. IV. Serie
1 Physical Review, II. Series
1 Acta Litterarum ac Scientiarum. Regiae Universitatis Hungaricae Francisco-Josephinae. Sectio Scientiarum Mathematicarum
1 Sitzungsberichte der Preußischen Akademie der Wissenschaften, Physikalisch-Mathematische Klasse
1 Colloquium Publications. American Mathematical Society
1 Rendiconti del Seminario Matematico delle Facoltá di Scienze della R. Universitá di Roma, II. Serie
1 Scientia
1 Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen. Mathematisch-Physikalische Klasse

Publications by Year

Citations contained in zbMATH Open

110 Publications have been cited 2,437 times in 2,031 Documents Cited by Year
Dynamical systems. JFM 53.0732.01
Birkhoff, George D.
257
1927
Dynamical systems. First printing of revised edition. Zbl 0171.05402
Birkhoff, G. D.
182
1966
Démonstration d’un théorème élémentaire sur les fonctions entières. JFM 55.0192.07
Birkhoff, G. D.
157
1929
Boundary value and expansion problems of ordinary linear differential equations. JFM 39.0386.02
Birkhoff, G. D.
116
1908
A determinant formula for the number of ways of coloring a map. JFM 43.0574.02
Birkhoff, G. D.
109
1912
Surface transformations and their dynamical applications. JFM 47.0985.03
Birkhoff, G. D.
91
1920
Dynamical systems with two degrees of freedom. JFM 46.1174.01
Birkhoff, G. D.
80
1917
On the asymptotic character of the solutions of certain linear differential equations containing a parameter. JFM 39.0386.01
Birkhoff, G. D.
73
1908
The restricted problem of three bodies. JFM 45.1396.01
Birkhoff, G. D.
68
1915
Proof of Poincaré’s geometric theorem. JFM 44.0761.01
Birkhoff, G. D.
63
1913
Chromatic polynomials. Zbl 0060.41601
Birkhoff, George D.; Lewis, D. C.
61
1946
Proof of the ergodic theorem. Zbl 0003.25602
Birkhoff, George D.
59
1931
On the integral divisors of \(a^n - b^n\). JFM 35.0205.01
Birkhoff, George David; Vandiver, H. S.
58
1904
Proof of the ergodic theorem. JFM 57.1011.02
Birkhoff, G. D.
56
1931
Formal theory of irregular linear difference equations. JFM 56.0402.01
Birkhoff, G. D.
53
1930
On the periodic motions of dynamical systems. JFM 53.0733.03
Birkhoff, G. D.
52
1927
General theory of linear difference equations. JFM 42.0359.02
Birkhoff, G. D.
47
1911
Relativity and modern physics. With the cooperation of R. E. Langer. JFM 49.0619.01
Birkhoff, G. D.
46
1923
Analytic theory of singular difference equations. Zbl 0006.16802
Birkhoff, George D.; Trjitzinsky, W. J.
43
1933
General mean value and remainder theorems. JFM 37.0308.02
Birkhoff, G. D.
43
1906
The generalized Riemann problem for linear differential equations and the allied problems for linear difference and \(q\)-difference equations. JFM 44.0391.03
Birkhoff, G. D.
41
1913
An extension of Poincaré’s last geometric theorem. JFM 52.0573.02
Birkhoff, G. D.
40
1926
On the periodic motions near a given periodic motion of a dynamical system. Zbl 0007.37104
Birkhoff, G. D.; Lewis, D. C. jun.
32
1933
Invariant points in function space. JFM 48.0472.02
Birkhoff, G. D.; Kellogg, O. D.
30
1922
Singular points ot ordinary linear differential equations. JFM 40.0352.02
Birkhoff, G. D.
30
1909
On the solutions of ordinary linear homogeneous differential equations of the third order. JFM 42.0344.01
Birkhoff, G. D.
25
1911
Collected mathematical papers. Vols I, II, III. Zbl 0041.34201
Birkhoff, George D.
24
1950
The boundary problems and developments associated with a system of ordinary linear differential equations of the first order. JFM 49.0723.01
Birkhoff, G. D.; Langer, R. E.
24
1923
A theorem on matrices of analytic functions. JFM 44.0469.02
Birkhoff, G. D.
22
1913
Nouvelles recherches sur les systèmes dynamiques. JFM 60.1340.02
Birkhoff, G. D.
21
1934
Proof of a recurrence theorem for strongly transitive systems. Zbl 0003.25601
Birkhoff, George D.
19
1931
Quantum mechanics and asymptotic series. I. Zbl 0008.08902
Birkhoff, G. D.
17
1933
Sur quelques courbes fermées remarquables. Zbl 0005.22002
Birkhoff, George D.
16
1932
The reducibility of maps. JFM 44.0568.01
Birkhoff, George David
16
1913
General ergodic theorems. Zbl 0024.12402
Alaoglu, L.; Birkhoff, G.
15
1940
Aesthetic measure. JFM 59.0871.02
Birkhoff, G. D.
15
1933
Natural isoperimetric conditions in the calculus of variations. Zbl 0014.31601
Birkhoff, G. D.; Hestenes, M. R.
14
1935
General ergodic theorems. JFM 66.0559.02
Alaoglu, L.; Birkhoff, G.
14
1940
Analytical groups. JFM 64.1092.02
Birkhoff, G.
13
1938
Equivalent singular points of ordinary linear differential equations. JFM 44.0373.01
Birkhoff, G. D.
13
1913
Recent contributions to the ergodic theory. Zbl 0004.31102
Birkhoff, G. D.; Koopman, B. O.
12
1932
Nouvelles recherches sur les systèmes dynamiques. Zbl 0016.23401
Birkhoff, George D.
12
1934
Structure analysis of surface transformations. JFM 54.0604.03
Birkhoff, G. D.; Smith, P. A.
11
1928
Analytic theory of singular difference equations. JFM 59.0450.03
Birkhoff, G. D.; Trjitzinsky, W. J.
11
1933
Note on a canonical form for the linear \(q\)-difference system. JFM 67.0305.02
Birkhoff, G. D.; Guenther, P. E.
10
1941
Sur quelques courbes fermées remarquables. JFM 58.0633.01
Birkhoff, George David
10
1932
Some unsolved problems of theoretical dynamics. Zbl 1225.70001
Birkhoff, George D.
10
1941
Quelques théorèmes sur le mouvement des systèmes dynamiques. JFM 43.0818.01
Birkhoff, G. D.
10
1912
A set of postulates for plane geometry, based on scale and protractor. Zbl 0004.12602
Birkhoff, George D.
9
1932
Matter, electricity and gravitation in flat space-time. Zbl 0061.47004
Birkhoff, George D.
9
1943
Stability and the equations of dynamics. JFM 53.0733.04
Birkhoff, G. D.
8
1927
Collected mathematical papers. Vols I, II, III. Zbl 0225.01009
Birkhoff, George D.
8
1968
On the number of ways of colouring a map. JFM 56.0499.02
Birkhoff, G. D.
8
1930
Existence and oscillation theorem for a certain boundary value problem. JFM 40.0375.01
Birkhoff, G. D.
8
1909
Une généralisation à \(n\) dimensions du dernier théorème de géométrie de Poincaré. Zbl 0001.17402
Birkhoff, George D.
7
1931
Note on a canonical form for the linear \(q\)-difference system. Zbl 0061.20002
Birkhoff, George D.; Guenther, Paul E.
7
1941
Über gewisse Zentralbewegungen dynamischer Systeme. JFM 52.0802.04
Birkhoff, G. D.
6
1926
What is the ergodic theorem,. Zbl 0063.00410
Birkhoff, George D.
6
1942
A simplified treatment of the regular singular point. JFM 41.0350.01
Birkhoff, G. D.
6
1910
Fifty years of American mathematics. JFM 64.0003.04
Birkhoff, G. D.
5
1938
Note on the expansion problems of ordinary linear differential equations. JFM 44.0372.03
Birkhoff, G. D.
5
1913
Probability and physical systems. Zbl 0005.22201
Birkhoff, G. D.
4
1932
Some remarks concerning Schrödinger’s wave equation. Zbl 0006.30802
Birkhoff, George D.
4
1933
On the polynomial expressions for the number of ways of coloring a map. Zbl 0008.22601
Birkhoff, George D.
4
1934
Generalized minimax principle in the calculus of variations. Zbl 0013.17101
Birkhoff, G. D.; Hestenes, M. R.
4
1935
Quantum mechanics and asymptotic series. JFM 59.1530.01
Birkhoff, G. D.
4
1933
Sur une généralisation de la série de Taylor. JFM 46.0483.05
Birkhoff, G. D.
4
1917
Infinite products of analytic matrices. JFM 46.0531.04
Birkhoff, G. D.
4
1916
On a simple type of irregular singular point. JFM 44.0373.02
Birkhoff, G. D.
4
1913
Sur l’existence de regions d’instabilite en dynamique. Zbl 0005.22103
Birkhoff, George D.
3
1932
Natural isoperimetric conditions in the calculus of variations. Zbl 0011.16701
Birkhoff, G. D.; Hestenes, M. R.
3
1935
Distributive postulates for systems like Boolean algebras. Zbl 0060.05810
Birkhoff, George D.; Birkhoff, Garrett
3
1946
The mathematical nature of physical theories. Zbl 0061.00609
Birkhoff, George D.
3
1943
Flat space-time and gravitation. Zbl 0061.47005
Birkhoff, George D.
3
1944
Déformations analytiques et fonctions auto-équivalentes. Zbl 0063.00405
Birkhoff, George D.
3
1939
A set of postulates for plane geometry. JFM 58.1196.01
Birkhoff, G. D.
3
1932
An elementary double inequality for the roots of an algebraic equation having greatest absolute value. JFM 45.0186.03
Birkhoff, G. D.
3
1915
The periodic motions near a stable periodic motion of a dynamical system. JFM 53.0751.19
Birkhoff, G. D.
2
1927
A mathematical critique of some physical theories. JFM 53.0828.18
Birkhoff, G. D.
2
1927
The hydrogen atom and the Balmer formula. JFM 53.0869.06
Birkhoff, G. D.
2
1927
Note on linear difference and differential equations. JFM 67.0305.01
Birkhoff, G. D.
2
1941
A mathematical approach to aesthetics. Zbl 0002.17703
Birkhoff, George D.
2
1931
Generalized minimax principle in the calculus of variations. Zbl 0011.16602
Birkhoff, G. D.; Hestenes, M. R.
2
1935
Sur le problème restreint des trois corps. (I. mem.). Zbl 0012.12804
Birkhoff, George D.
2
1935
Fifty years of American mathematics. Zbl 0019.24307
Birkhoff, George D.
2
1938
The principle of sufficient reason. Zbl 0063.00407
Birkhoff, George D.
2
1941
Dynamical systems. Transl. from the English by E. M. Livenson. Ed. by A. A. Markov, V. V. Nemytskij and V. V. Stepanov. (Dinamicheskie sistemy.) Zbl 0992.37001
Birkhoff, G. D.
2
1999
Analytic theory of singular difference equations. JFM 58.0472.02
Birkhoff, G. D.; Trjitzinsky, W. J.
2
1932
Recent contributions to the ergodic theory. JFM 58.1271.02
Birkhoff, G. D.; Koopman, B. O.
2
1932
Une généralisation à \(n\) dimensions du dernier théorème de géométrie de Poincaré. JFM 57.0729.03
Birkhoff, G. D.
2
1931
Proof of a recurrence for strongly transitive systems. JFM 57.1011.01
Birkhoff, G. D.
2
1931
Divergent series and singular points of ordinary differential equations. JFM 56.0381.01
Birkhoff, G. D.; Bamforth, F. R.
2
1930
Sur la signification des équations canoniques de la dynamique. JFM 52.0802.03
Birkhoff, G. D.
1
1926
General ergodic theorems. Zbl 0022.36103
Alaoglu, L.; Birkhoff, G.
1
1939
Collected mathematical papers. Vols. I, II, III. Zbl 0045.14802
Birkhoff, George D.
1
1951
On Birkhoff’s new theory of gravitation. Zbl 0061.47011
Barajas, A.; Birkhoff, George D.; Graef, C.; Vallarta, M.
1
1944
A mathematical critique of some physical theories. Zbl 1010.01520
Birkhoff, G. D.
1
2000
Sur le problème restreint des trois corps. II. JFM 62.0929.02
Birkhoff, G. D.
1
1936
Sur le problème restreint des trois corps. JFM 61.1480.03
Birkhoff, G. D.
1
1935
On the polynomial expressions for the number of ways of coloring a map. JFM 60.0501.06
Birkhoff, G. D.
1
1934
A mathematical critique of some physical theories. Zbl 1010.01520
Birkhoff, G. D.
1
2000
Dynamical systems. Transl. from the English by E. M. Livenson. Ed. by A. A. Markov, V. V. Nemytskij and V. V. Stepanov. (Dinamicheskie sistemy.) Zbl 0992.37001
Birkhoff, G. D.
2
1999
Collected mathematical papers. Vols I, II, III. Zbl 0225.01009
Birkhoff, George D.
8
1968
Dynamical systems. First printing of revised edition. Zbl 0171.05402
Birkhoff, G. D.
182
1966
Collected mathematical papers. Vols. I, II, III. Zbl 0045.14802
Birkhoff, George D.
1
1951
Collected mathematical papers. Vols I, II, III. Zbl 0041.34201
Birkhoff, George D.
24
1950
Chromatic polynomials. Zbl 0060.41601
Birkhoff, George D.; Lewis, D. C.
61
1946
Distributive postulates for systems like Boolean algebras. Zbl 0060.05810
Birkhoff, George D.; Birkhoff, Garrett
3
1946
Flat space-time and gravitation. Zbl 0061.47005
Birkhoff, George D.
3
1944
On Birkhoff’s new theory of gravitation. Zbl 0061.47011
Barajas, A.; Birkhoff, George D.; Graef, C.; Vallarta, M.
1
1944
Matter, electricity and gravitation in flat space-time. Zbl 0061.47004
Birkhoff, George D.
9
1943
The mathematical nature of physical theories. Zbl 0061.00609
Birkhoff, George D.
3
1943
What is the ergodic theorem,. Zbl 0063.00410
Birkhoff, George D.
6
1942
Note on a canonical form for the linear \(q\)-difference system. JFM 67.0305.02
Birkhoff, G. D.; Guenther, P. E.
10
1941
Some unsolved problems of theoretical dynamics. Zbl 1225.70001
Birkhoff, George D.
10
1941
Note on a canonical form for the linear \(q\)-difference system. Zbl 0061.20002
Birkhoff, George D.; Guenther, Paul E.
7
1941
Note on linear difference and differential equations. JFM 67.0305.01
Birkhoff, G. D.
2
1941
The principle of sufficient reason. Zbl 0063.00407
Birkhoff, George D.
2
1941
General ergodic theorems. Zbl 0024.12402
Alaoglu, L.; Birkhoff, G.
15
1940
General ergodic theorems. JFM 66.0559.02
Alaoglu, L.; Birkhoff, G.
14
1940
Déformations analytiques et fonctions auto-équivalentes. Zbl 0063.00405
Birkhoff, George D.
3
1939
General ergodic theorems. Zbl 0022.36103
Alaoglu, L.; Birkhoff, G.
1
1939
Analytical groups. JFM 64.1092.02
Birkhoff, G.
13
1938
Fifty years of American mathematics. JFM 64.0003.04
Birkhoff, G. D.
5
1938
Fifty years of American mathematics. Zbl 0019.24307
Birkhoff, George D.
2
1938
Sur le problème restreint des trois corps. II. JFM 62.0929.02
Birkhoff, G. D.
1
1936
Natural isoperimetric conditions in the calculus of variations. Zbl 0014.31601
Birkhoff, G. D.; Hestenes, M. R.
14
1935
Generalized minimax principle in the calculus of variations. Zbl 0013.17101
Birkhoff, G. D.; Hestenes, M. R.
4
1935
Natural isoperimetric conditions in the calculus of variations. Zbl 0011.16701
Birkhoff, G. D.; Hestenes, M. R.
3
1935
Generalized minimax principle in the calculus of variations. Zbl 0011.16602
Birkhoff, G. D.; Hestenes, M. R.
2
1935
Sur le problème restreint des trois corps. (I. mem.). Zbl 0012.12804
Birkhoff, George D.
2
1935
Sur le problème restreint des trois corps. JFM 61.1480.03
Birkhoff, G. D.
1
1935
Nouvelles recherches sur les systèmes dynamiques. JFM 60.1340.02
Birkhoff, G. D.
21
1934
Nouvelles recherches sur les systèmes dynamiques. Zbl 0016.23401
Birkhoff, George D.
12
1934
On the polynomial expressions for the number of ways of coloring a map. Zbl 0008.22601
Birkhoff, George D.
4
1934
On the polynomial expressions for the number of ways of coloring a map. JFM 60.0501.06
Birkhoff, G. D.
1
1934
Analytic theory of singular difference equations. Zbl 0006.16802
Birkhoff, George D.; Trjitzinsky, W. J.
43
1933
On the periodic motions near a given periodic motion of a dynamical system. Zbl 0007.37104
Birkhoff, G. D.; Lewis, D. C. jun.
32
1933
Quantum mechanics and asymptotic series. I. Zbl 0008.08902
Birkhoff, G. D.
17
1933
Aesthetic measure. JFM 59.0871.02
Birkhoff, G. D.
15
1933
Analytic theory of singular difference equations. JFM 59.0450.03
Birkhoff, G. D.; Trjitzinsky, W. J.
11
1933
Some remarks concerning Schrödinger’s wave equation. Zbl 0006.30802
Birkhoff, George D.
4
1933
Quantum mechanics and asymptotic series. JFM 59.1530.01
Birkhoff, G. D.
4
1933
The mathematical work of Oliver Dimon Kellogg. JFM 59.0042.07
Birkhoff, G. D.
1
1933
On the periodic motions near a given periodic motion of a dynamical system. JFM 59.0733.05
Birkhoff, G. D.; Lewis, D. C.
1
1933
Sur quelques courbes fermées remarquables. Zbl 0005.22002
Birkhoff, George D.
16
1932
Recent contributions to the ergodic theory. Zbl 0004.31102
Birkhoff, G. D.; Koopman, B. O.
12
1932
Sur quelques courbes fermées remarquables. JFM 58.0633.01
Birkhoff, George David
10
1932
A set of postulates for plane geometry, based on scale and protractor. Zbl 0004.12602
Birkhoff, George D.
9
1932
Probability and physical systems. Zbl 0005.22201
Birkhoff, G. D.
4
1932
Sur l’existence de regions d’instabilite en dynamique. Zbl 0005.22103
Birkhoff, George D.
3
1932
A set of postulates for plane geometry. JFM 58.1196.01
Birkhoff, G. D.
3
1932
Analytic theory of singular difference equations. JFM 58.0472.02
Birkhoff, G. D.; Trjitzinsky, W. J.
2
1932
Recent contributions to the ergodic theory. JFM 58.1271.02
Birkhoff, G. D.; Koopman, B. O.
2
1932
Proof of the ergodic theorem. Zbl 0003.25602
Birkhoff, George D.
59
1931
Proof of the ergodic theorem. JFM 57.1011.02
Birkhoff, G. D.
56
1931
Proof of a recurrence theorem for strongly transitive systems. Zbl 0003.25601
Birkhoff, George D.
19
1931
Une généralisation à \(n\) dimensions du dernier théorème de géométrie de Poincaré. Zbl 0001.17402
Birkhoff, George D.
7
1931
A mathematical approach to aesthetics. Zbl 0002.17703
Birkhoff, George D.
2
1931
Une généralisation à \(n\) dimensions du dernier théorème de géométrie de Poincaré. JFM 57.0729.03
Birkhoff, G. D.
2
1931
Proof of a recurrence for strongly transitive systems. JFM 57.1011.01
Birkhoff, G. D.
2
1931
Formal theory of irregular linear difference equations. JFM 56.0402.01
Birkhoff, G. D.
53
1930
On the number of ways of colouring a map. JFM 56.0499.02
Birkhoff, G. D.
8
1930
Divergent series and singular points of ordinary differential equations. JFM 56.0381.01
Birkhoff, G. D.; Bamforth, F. R.
2
1930
Démonstration d’un théorème élémentaire sur les fonctions entières. JFM 55.0192.07
Birkhoff, G. D.
157
1929
Einige Probleme der Dynamik. JFM 55.0452.03
Birkhoff, G. D.
1
1929
Divergente Reihen und singuläre Punkte gewöhnlicher Differentialgleichungen. JFM 55.0844.01
Birkhoff, G. D.
1
1929
Structure analysis of surface transformations. JFM 54.0604.03
Birkhoff, G. D.; Smith, P. A.
11
1928
Dynamical systems. JFM 53.0732.01
Birkhoff, George D.
257
1927
On the periodic motions of dynamical systems. JFM 53.0733.03
Birkhoff, G. D.
52
1927
Stability and the equations of dynamics. JFM 53.0733.04
Birkhoff, G. D.
8
1927
The periodic motions near a stable periodic motion of a dynamical system. JFM 53.0751.19
Birkhoff, G. D.
2
1927
A mathematical critique of some physical theories. JFM 53.0828.18
Birkhoff, G. D.
2
1927
The hydrogen atom and the Balmer formula. JFM 53.0869.06
Birkhoff, G. D.
2
1927
An extension of Poincaré’s last geometric theorem. JFM 52.0573.02
Birkhoff, G. D.
40
1926
Über gewisse Zentralbewegungen dynamischer Systeme. JFM 52.0802.04
Birkhoff, G. D.
6
1926
Sur la signification des équations canoniques de la dynamique. JFM 52.0802.03
Birkhoff, G. D.
1
1926
Relativity and modern physics. With the cooperation of R. E. Langer. JFM 49.0619.01
Birkhoff, G. D.
46
1923
The boundary problems and developments associated with a system of ordinary linear differential equations of the first order. JFM 49.0723.01
Birkhoff, G. D.; Langer, R. E.
24
1923
Invariant points in function space. JFM 48.0472.02
Birkhoff, G. D.; Kellogg, O. D.
30
1922
The boundary problems and developments associated with a system of ordinary linear differential equations of the first order. JFM 48.0528.03
Birkhoff, G. D.; Langer, R. E.
1
1922
Surface transformations and their dynamical applications. JFM 47.0985.03
Birkhoff, G. D.
91
1920
The work of Poincaré on automorphic functions. JFM 47.0368.01
Birkhoff, G. D.
1
1920
Sur la démonstration directe du dernier théorème de Henri Poincaré, par M. Dantzig. JFM 46.0834.01
Birkhoff, G. D.
1
1918
Dynamical systems with two degrees of freedom. JFM 46.1174.01
Birkhoff, G. D.
80
1917
Sur une généralisation de la série de Taylor. JFM 46.0483.05
Birkhoff, G. D.
4
1917
Infinite products of analytic matrices. JFM 46.0531.04
Birkhoff, G. D.
4
1916
Dynamical systems with two degrees of freedom. JFM 46.0834.02
Birkhoff, G. D.
1
1916
The restricted problem of three bodies. JFM 45.1396.01
Birkhoff, G. D.
68
1915
An elementary double inequality for the roots of an algebraic equation having greatest absolute value. JFM 45.0186.03
Birkhoff, G. D.
3
1915
Proof of Poincaré’s geometric theorem. JFM 44.0761.01
Birkhoff, G. D.
63
1913
The generalized Riemann problem for linear differential equations and the allied problems for linear difference and \(q\)-difference equations. JFM 44.0391.03
Birkhoff, G. D.
41
1913
A theorem on matrices of analytic functions. JFM 44.0469.02
Birkhoff, G. D.
22
1913
The reducibility of maps. JFM 44.0568.01
Birkhoff, George David
16
1913
Equivalent singular points of ordinary linear differential equations. JFM 44.0373.01
Birkhoff, G. D.
13
1913
Note on the expansion problems of ordinary linear differential equations. JFM 44.0372.03
Birkhoff, G. D.
5
1913
On a simple type of irregular singular point. JFM 44.0373.02
Birkhoff, G. D.
4
1913
Note on the gamma function. JFM 44.0516.04
Birkhoff, G. D.
1
1913
A determinant formula for the number of ways of coloring a map. JFM 43.0574.02
Birkhoff, G. D.
109
1912
Quelques théorèmes sur le mouvement des systèmes dynamiques. JFM 43.0818.01
Birkhoff, G. D.
10
1912
...and 10 more Documents
all top 5

Cited by 2,328 Authors

25 Markeev, Anatoliĭ Pavlovich
13 Bernal-Gonzàlez, Luis
11 Peris, Alfredo
11 Zhang, Yi
10 Grigoryan, Martin Gevorgovich
10 Kozlov, Valeriĭ Vasil’evich
9 Bardin, Boris Sabirovich
9 Giorgilli, Antonio
8 Bès, Juan P.
8 Freiling, Gerhard
8 Ramis, Jean-Pierre
8 Sargsyan, Artsrun A.
8 Shkalikov, Andreĭ Andreevich
8 Wang, Junmin
7 Arnaud, Marie-Claude
7 Conejero, José Alberto
7 Frauenfelder, Urs Adrian
7 Holmes, Philip J.
7 Luh, Wolfgang
7 Sauloy, Jacques
7 Trjitzinsky, Waldemar Joseph
6 Fonda, Alessandro
6 Lutz, Donald A.
6 MacKay, Robert Sinclair
6 Mather, John N.
6 Mei, Fengxiang
6 Menet, Quentin
6 Meyer, Kenneth R.
6 Sorrentino, Alfonso
6 Wang, Qiudong
6 Wu, Huibin
6 Zanolin, Fabio
6 Zhang, Changgui
5 Annaby, Mahmoud H.
5 Blokhin, Aleksandr Mikhaĭlovich
5 Dong, Fengming
5 Donnelly, John B.
5 Eberhard, Walter
5 Ellis, George Francis Rayner
5 Kaloshin, Vadim Yu.
5 Le Calvez, Patrice
5 Llibre, Jaume
5 Long, Yiming
5 Luo, Albert C. J.
5 Luo, Shaokai
5 Makowsky, Johann-Andreas
5 Malamud, Mark M.
5 Neuman, František
5 Reid, William T.
5 Rezaei, Hamid
5 Sansottera, Marco
5 Scorza Dragoni, Giuseppe
5 Sokal, Alan D.
5 Sokol’skiĭ, Andreĭ Georgievich
5 Thomassen, Carsten
5 Tkachev, Dmitry L.
5 Wimp, Jet
5 Wong, Roderick Sue-Chuen
5 Zhang, Weinian
4 Bayart, Frédéric
4 Bazzani, Armando
4 Benzinger, Harold E.
4 Berger, Pierre
4 Biasco, Luca
4 Calderón-Moreno, María del Carmen
4 Chechkin, Gregory Aleksandrovich
4 Chekina, Evgeniya Alekseevna
4 Chen, Yonggao
4 Chepyzhov, Vladimir V.
4 Costakis, George
4 Dahlberg, Samantha
4 Dehornoy, Pierre
4 Dettmann, Carl P.
4 Ernst, Romuald
4 Fomenko, Anatoliĭ Timofeevich
4 Forte, Bruno
4 Gauthier, Paul M.
4 Goswami, Rituparno
4 Guo, Bao-Zhu
4 Hamza, Alaa E.
4 Intissar, Abdelkader
4 Jurkat, Wolfgang B.
4 Kennedy, Judy A.
4 Koh, Khee Meng
4 Kong, Xinlei
4 Krall, Allan M.
4 Locker, John
4 Lorentz, Georg Gunther
4 Martínez-Avendaño, Rubén A.
4 Martínez-Giménez, Félix
4 Masani, Pesi Rustom
4 Moeckel, Richard
4 Moser, Jürgen K.
4 Mukhtarov, Oktay Sh.
4 Oganesyan, Gro R.
4 Pelyukh, H. P.
4 Rotkiewicz, Andrzej
4 Salas, Jesús
4 Savchuk, Artem M.
4 Smale, Steve
...and 2,228 more Authors
all top 5

Cited in 425 Serials

83 Journal of Mathematical Analysis and Applications
67 Journal of Differential Equations
54 Transactions of the American Mathematical Society
42 Physica D
37 Communications in Mathematical Physics
37 Proceedings of the American Mathematical Society
36 Journal of Approximation Theory
34 Journal of Applied Mathematics and Mechanics
30 Mathematische Zeitschrift
29 Celestial Mechanics and Dynamical Astronomy
28 Journal of Combinatorial Theory. Series B
27 Journal of Mathematical Sciences (New York)
25 Discrete Mathematics
25 Mathematische Annalen
23 Advances in Mathematics
22 Acta Mathematica
22 Ergodic Theory and Dynamical Systems
22 Bulletin of the American Mathematical Society. New Series
22 Regular and Chaotic Dynamics
22 Bulletin of the American Mathematical Society
21 Journal of Mathematical Physics
20 Mathematical Notes
20 Chaos, Solitons and Fractals
20 Chaos
19 Inventiones Mathematicae
18 Annali di Matematica Pura ed Applicata. Serie Quarta
18 Celestial Mechanics
17 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
16 Prikladnaya Matematika i Mekhanika
16 Annales de l’Institut Fourier
16 Journal of Functional Analysis
15 General Relativity and Gravitation
14 Nonlinear Dynamics
13 Applied Mathematics and Computation
13 Duke Mathematical Journal
13 Results in Mathematics
12 Journal of Geometry and Physics
12 Journal of Computational and Applied Mathematics
12 Nonlinear Analysis. Theory, Methods & Applications
11 Journal of Statistical Physics
11 Topology and its Applications
10 Physics Letters. A
10 Rocky Mountain Journal of Mathematics
10 The Mathematical Intelligencer
10 Integral Equations and Operator Theory
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Rendiconti del Circolo Matemàtico di Palermo. Serie II
10 Journal of Dynamics and Differential Equations
10 Proceedings of the Steklov Institute of Mathematics
9 Archive for Rational Mechanics and Analysis
9 Linear Algebra and its Applications
9 Complex Analysis and Operator Theory
8 Acta Mechanica
8 Archive for History of Exact Sciences
8 Israel Journal of Mathematics
8 Archiv der Mathematik
8 Manuscripta Mathematica
8 Advances in Applied Mathematics
8 Discrete and Continuous Dynamical Systems
7 International Journal of Theoretical Physics
7 Nonlinearity
7 Theoretical and Mathematical Physics
7 Mathematics of Computation
7 Geometriae Dedicata
7 Journal of Number Theory
7 Journal of Symbolic Computation
7 Aequationes Mathematicae
7 Historia Mathematica
7 The Electronic Journal of Combinatorics
7 Journal of Difference Equations and Applications
7 Computational Methods and Function Theory
7 Advances in Difference Equations
6 Astrophysics and Space Science
6 Bulletin of the Australian Mathematical Society
6 Bulletin de la Société Mathématique de France
6 Functional Analysis and its Applications
6 Publications Mathématiques
6 Journal of Geometry
6 Journal of Optimization Theory and Applications
6 Journal of Soviet Mathematics
6 Computer Aided Geometric Design
6 Annals of Mathematics. Second Series
6 Acta Mathematica Sinica. English Series
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Rendiconti del Circolo Matematico di Palermo
5 Modern Physics Letters A
5 Discrete Applied Mathematics
5 Journal of the Franklin Institute
5 Letters in Mathematical Physics
5 Ukrainian Mathematical Journal
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Journal of Computer and System Sciences
5 Theoretical Computer Science
5 European Journal of Combinatorics
5 Acta Mathematica Hungarica
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Graphs and Combinatorics
5 Constructive Approximation
5 Calculus of Variations and Partial Differential Equations
5 Communications in Nonlinear Science and Numerical Simulation
...and 325 more Serials
all top 5

Cited in 62 Fields

570 Dynamical systems and ergodic theory (37-XX)
322 Ordinary differential equations (34-XX)
304 Mechanics of particles and systems (70-XX)
214 Operator theory (47-XX)
172 Combinatorics (05-XX)
111 Differential geometry (53-XX)
95 Difference and functional equations (39-XX)
86 Functions of a complex variable (30-XX)
84 Partial differential equations (35-XX)
76 Numerical analysis (65-XX)
72 Number theory (11-XX)
62 Functional analysis (46-XX)
62 General topology (54-XX)
61 Global analysis, analysis on manifolds (58-XX)
58 Relativity and gravitational theory (83-XX)
57 Quantum theory (81-XX)
55 Approximations and expansions (41-XX)
48 History and biography (01-XX)
46 Probability theory and stochastic processes (60-XX)
40 Several complex variables and analytic spaces (32-XX)
38 Computer science (68-XX)
37 Harmonic analysis on Euclidean spaces (42-XX)
37 Manifolds and cell complexes (57-XX)
33 Special functions (33-XX)
31 Statistical mechanics, structure of matter (82-XX)
30 Measure and integration (28-XX)
28 Calculus of variations and optimal control; optimization (49-XX)
26 Systems theory; control (93-XX)
25 Topological groups, Lie groups (22-XX)
23 Group theory and generalizations (20-XX)
23 Abstract harmonic analysis (43-XX)
23 Geometry (51-XX)
23 Fluid mechanics (76-XX)
22 Real functions (26-XX)
21 Convex and discrete geometry (52-XX)
20 Algebraic geometry (14-XX)
18 Field theory and polynomials (12-XX)
18 Algebraic topology (55-XX)
15 Order, lattices, ordered algebraic structures (06-XX)
15 Mechanics of deformable solids (74-XX)
14 General and overarching topics; collections (00-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
14 Biology and other natural sciences (92-XX)
14 Information and communication theory, circuits (94-XX)
13 Nonassociative rings and algebras (17-XX)
12 Mathematical logic and foundations (03-XX)
12 Astronomy and astrophysics (85-XX)
10 Associative rings and algebras (16-XX)
9 Statistics (62-XX)
8 Sequences, series, summability (40-XX)
7 Commutative algebra (13-XX)
7 Potential theory (31-XX)
7 Integral transforms, operational calculus (44-XX)
7 Integral equations (45-XX)
6 Category theory; homological algebra (18-XX)
6 Operations research, mathematical programming (90-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Mathematics education (97-XX)
4 Optics, electromagnetic theory (78-XX)
3 Classical thermodynamics, heat transfer (80-XX)
1 \(K\)-theory (19-XX)
1 Geophysics (86-XX)

Citations by Year

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